Electron. J. Diff. Equ., Vol. 2016 (2016), No. 221, pp. 1-19.

Good Radon measure for anisotropic problems with variable exponent

Ibrahime Konate, Stanislas Ouaro

Abstract:
We study nonlinear anisotropic problems with bounded Radon diffuse measure and variable exponent. We prove the existence and uniqueness of entropy solution.

Submitted March 28, 2016. Published August 17, 2016.
Math Subject Classifications: 36J60, 35J65, 35J20, 35J25.
Key Words: Generalized Lebesgue-Sobolev spaces; anisotropic Sobolev space; weak solution; entropy solution; Dirichlet boundary condition; bounded Radon diffuse measure; Marcinkiewicz space.

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Ibrahime Konaté
Laboratoire de Mathématiques et Informatique (LAMI)
UFR. Sciences Exactes et appliquées
Université de Ouagadougou, 03 BP 7021 Ouaga 03
Ouagadougou, Burkina Faso
email: ibrakonat@yahoo.fr
Stanislas Ouaro
Laboratoire de Mathématiques et Informatique (LAMI)
UFR. Sciences Exactes et Appliquées
Université de Ouagadougou, 03 BP 7021 Ouaga 03
Ouagadougou, Burkina Faso
email: souaro@univ-ouaga.bf, ouaro@yahoo.fr

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